SOLUTION: determine the equation of a line passing through the point (3;-2) and hence the graph

Algebra ->  Equations -> SOLUTION: determine the equation of a line passing through the point (3;-2) and hence the graph      Log On


   

Question 766006: determine the equation of a line passing through the point (3;-2) and hence the graph
Found 2 solutions by tommyt3rd, josmiceli:
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
an infinite number of lines can pass through a point - please repost with a clear and complete question :)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
That's kind of a trick question. You
can draw an infinite number of
lines through any given point.
--------------------------
The best you can do is write a general
equation without a specified slope.
Let slope = +m+
+%28+y+-+%28-2%29+%29+%2F+%28+x+-+3+%29+=+m+
+y+%2B+2+=+m%2A%28+x+-+3+%29+
+y+=+mx+-+%28+3m+%2B+2+%29+
---------------------
check:
Let +m+=+-4+
+y+=+-4x+-+%28+3%2A%28-4%29+%2B+2+%29+
+y+=+-4x+-%28+-10+%29+
+y+=+-4x+%2B+10+
Does it go through ( 3,-2 )?
+-2+=+-4%2A3+%2B+10+
+-2+=+-2+
OK